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stepan [7]
3 years ago
5

Which expressions are polynomials?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Option A: z + 1

Option B: 6 + w

Option D: 2 x^{4}-y

Solution:

Let us first define the polynomial.

A polynomial can have constants, variables, exponents and fractional coefficients.

A polynomial cannot have negative exponents, fractional exponents and never divided by a variable.

<u>To find which expressions are polynomial:</u>

Option A: z + 1

By the definition, z + 1 is a polynomial.

It is polynomial.

Option B: 6 + w

By the definition, 6 + w is a polynomial.

It is polynomial.

Option C: y^{2}-\sqrt[3]{y}+4

y^{2}-\sqrt[3]{y}+4=y^{2}-{y}^{1/3}+4

Here, y have fractional exponent.

So, it is not a polynomial.

Option D: 2 x^{4}-y

By the definition, 2 x^{4}-y is a polynomial.

It is polynomial.

Hence z + 1, 6 +w and 2 x^{4}-y are polynomials.

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8 0
3 years ago
Which shows the expression factored correctly? 16x^2-25
REY [17]
Lets take a look at the options first.
option 1 and option 4 are not possible as (8x) (8x) would give us 64x^2, which is not what we want.

we’re left with option 2 & 3. when expanded, option 2 will look like :
16x^2 - 40x - 10x + 25
= 16x^2 - 50x + 25

however, we do not want the 50x. so the answer is option 3, (4x-5) (4x+5)

if you don’t want to find the answer using expanding, there is also another method of expanding.

(a+b)^2 = a^2 - b^2

in this case, 16x^2 will be a^2 and 25 will be b^2. not sure whether you’ve learn this but yea.
7 0
3 years ago
Need help on 52 and 53
alukav5142 [94]
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4 0
3 years ago
Which ordered pair is a solution of y = x – 4?<br><br> (3, –7)<br> (3, 7)<br> (–3, 7)<br> (–3, –7)
ivanzaharov [21]
Y=x-4

From this we plug in the answer to find the y value!

For example y=3-4=-1 A.) would be incorrect!

Y=3-4=-1 B.) would be incorrect!

C.) y= -3-4=-7 while it’s SUPPOSE to be 7.

D.) y= -3-4=-7 and y value is -7


Correct answer: D!


Please like and brainiest
7 0
2 years ago
. Find the smallest value of k such that 3240k is a perfect cube.
Karolina [17]

Answer:

3240=2^3*3^4*5=2^3*3^3*3*5

k*2^3*3^3*15

so  k=15^2=225

Step-by-step explanation:

7 0
3 years ago
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